Geometric Continuity with Interpolating
نویسنده
چکیده
The Bezier formulation for parametric curves has many quali ties, among them the intuitive relationship between the shape of the control polygon and the shape of the curve , and the case of computation and subdivision. Other formulations , however, have become more popular because they offer local control, or because they are interpolating, or even more recently because they provide the added flexibility of sha.pe parame ters . We present here techniques to use the Bezier formulation to interpolate the twodimensional points given by a user with cubic piecewise B~7.ier curves , while maintaining up to G [21 continuity, and to interactively manipulate the bias and tension of e ach span, with geometric entities clearly related to the curve, while preserving the degree of geometric continui ty prescribed by the user.
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